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Common fuzzy fixed point theorems in ordered metric spaces. (English) Zbl 1219.54043
Summary: We prove the existence of fuzzy common fixed point of two mappings satisfying a generalized contractive condition in complete ordered spaces. Our results provide extension as well as substantial improvements of several well-known results in the existing literature and initiate the study of fuzzy fixed point theorems in ordered spaces.
MSC:
54H25Fixed-point and coincidence theorems in topological spaces
54A40Fuzzy topology
47H10Fixed point theorems for nonlinear operators on topological linear spaces
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